-96.52131+3.06658x-0.02412x^2=0

Lösung

- 96.52131 + 3.06658 \cdot x - 0.02412 \cdot x^{2} = 0

x = \frac{3.06658 - 0.0915369076}{0.04824}, x = \frac{3.06658 + 0.0915369076}{0.04824}

Dezimale

x = 57.29745 \dots, x = 69.84101 \dots

Schritte zur Lösung

- 96.52131 + 3.06658 x - 0.02412 x^{2} = 0

Schreibe in der Standard Form

a x^{2} + b x + c = 0

- 0.02412 x^{2} + 3.06658 x - 96.52131 = 0

Löse mit der quadratischen Formel

x_{1, 2} = \frac{- 3.06658 \pm 3.0665 8 ^{2} - 4 ( - 0.02412 ) ( - 96.52131 )}{2 ( - 0.02412 )}

3.0665 8^{2} - 4 (- 0.02412) (- 96.52131) = 0.0915369076

x_{1, 2} = \frac{- 3.06658 \pm 0.0915369076}{2 ( - 0.02412 )}

Trenne die Lösungen

x_{1} = \frac{- 3.06658 + 0.0915369076}{2 ( - 0.02412 )}, x_{2} = \frac{- 3.06658 - 0.0915369076}{2 ( - 0.02412 )}

x = \frac{- 3.06658 + 0.0915369076}{2 ( - 0.02412 )} : \frac{3.06658 - 0.0915369076}{0.04824}

x = \frac{- 3.06658 - 0.0915369076}{2 ( - 0.02412 )} : \frac{3.06658 + 0.0915369076}{0.04824}

Die Lösungen für die quadratische Gleichung sind:

x = \frac{3.06658 - 0.0915369076}{0.04824}, x = \frac{3.06658 + 0.0915369076}{0.04824}

- 6 x^{2} + 2 x + 4 = 0

b^{2} - 36 = 0

2 y^{2} + y = 6

7 x^{2} = 50 x - 7

- 1 x^{2} + 5 x - 6 = 0